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Finding the Fourth Proportional to 132,001.92, 182,146.32 and 84,283.20

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Solution

The fourth proportional to 132,001.92, 182,146.32 and 84,283.20 is: 116,300.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,001.92 : 182,146.32 = 84,283.20 : x
  2. Step 2: Convert to fraction form
    132,001.92/182,146.32 = 84,283.20/x
  3. Step 3: Cross multiply
    132,001.92x = 182,146.32 × 84,283.20
  4. Step 4: Simplify right side
    132,001.92x = 15,351,874,717.82
  5. Step 5: Solve for x
    x = 15,351,874,717.82/132,001.92
  6. Step 6: Final answer
    x = 116,300.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.